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Finding the Fourth Proportional to 8,049.49, 12,076.85 and 3,889.98

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Solution

The fourth proportional to 8,049.49, 12,076.85 and 3,889.98 is: 5,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.49 : 12,076.85 = 3,889.98 : x
  2. Step 2: Convert to fraction form
    8,049.49/12,076.85 = 3,889.98/x
  3. Step 3: Cross multiply
    8,049.49x = 12,076.85 × 3,889.98
  4. Step 4: Simplify right side
    8,049.49x = 46,978,714.69
  5. Step 5: Solve for x
    x = 46,978,714.69/8,049.49
  6. Step 6: Final answer
    x = 5,836.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.